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Finding the Fourth Proportional to 3,279.11, 4,918.53 and 813.88

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Solution

The fourth proportional to 3,279.11, 4,918.53 and 813.88 is: 1,220.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,279.11 : 4,918.53 = 813.88 : x
  2. Step 2: Convert to fraction form
    3,279.11/4,918.53 = 813.88/x
  3. Step 3: Cross multiply
    3,279.11x = 4,918.53 × 813.88
  4. Step 4: Simplify right side
    3,279.11x = 4,003,068.60
  5. Step 5: Solve for x
    x = 4,003,068.60/3,279.11
  6. Step 6: Final answer
    x = 1,220.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.